Optimizing Flow Thinning Protection in Multicommodity Networks with Variable Link Capacity

Michał Pióro , Yoann Fouquet , Dritan Nace , Michael Poss


Flow thinning (FT) is a concept of a traffic routing and protection strategy applicable to communication networks with variable capacity of links. In such networks, the links do not attain their nominal (maximum) capacity simultaneously, so in a typical network state only some links are fully available whereas on each of the remaining links only a fraction of its maximum capacity is usable. Every end-to-end traffic demand is assigned a set of logical tunnels whose total capacity is dedicated to carry the demand’s traffic. The nominal (i.e., maximum) capacity of the tunnels, supported by the nominal (maximum) link capacity, is subject to state-dependent thinning to account for variable capacity of the links fluctuating below the maximum. Accordingly, the capacity available on the tunnels is also fluctuating below their nominal levels and hence the instantaneous traffic sent between the demand’s end nodes must accommodate to the current total capacity available on its dedicated tunnels. The related multi-commodity flow optimization problem is ����-hard and its noncompact linear programming formulation requires path generation. For that, we formulate an integer programming pricing problem, at the same time showing the cases when the pricing is polynomial. We also consider an important variant of FT, affine thinning, that may lead to practical FT implementations. We present a numerical study illustrating traffic efficiency of FT and computational efficiency of its optimization models. Our considerations are relevant, among others, for wireless mesh networks utilizing multiprotocol label switching tunnels.
Author Michał Pióro (FEIT / IT)
Michał Pióro,,
- The Institute of Telecommunications
, Yoann Fouquet - [University of Technology of Compiègne (UTC)]
Yoann Fouquet,,
- Université de Technologie de Compiègne
, Dritan Nace - [University of Technology of Compiègne (UTC)]
Dritan Nace,,
- Université de Technologie de Compiègne
, Michael Poss - [Université de Montpellier]
Michael Poss,,
- Université de Montpellier
Journal seriesOperations Research, ISSN 0030-364X
Issue year2016
Pages273 - 289
Publication size in sheets0.8
Keywords in Englishsurvivable network design; multiple partial link failures; mixed-integer programming; multicommodity flows; path generation; robust optimization
ASJC Classification1803 Management Science and Operations Research; 1706 Computer Science Applications
ProjectThe Develpment of Digital Communicatios. Project leader: Siuzdak Jerzy, , Phone: +48 22 234-7868, start date 27-04-2015, end date 31-12-2016, IT/2015/statut, Completed
WEiTI Działalność statutowa
Languageen angielski
Score (nominal)35
Score sourcejournalList
ScoreMinisterial score = 35.0, 17-03-2020, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 17-03-2020, ArticleFromJournal
Publication indicators WoS Citations = 8; Scopus Citations = 14; GS Citations = 18.0; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 2.042; WoS Impact Factor: 2016 = 1.779 (2) - 2016=2.787 (5)
Citation count*19 (2020-09-15)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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